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Dirac Equation in an Axial Coulomb Potential

Authors:	D Macdonald D G C McKeon

Abstract:	We consider solutions to the Dirac equation in the presence of an external axial vector potential $A_{\mu } \left( x \right) = \left( {\vec 0,e/\left\| {\vec r} \right\|} \right)$ coupled to the spinor field psi through the interaction term $- e{\bar \psi \gamma }_{\mu } {\gamma }_{5} {\gamma }A^{\mu }$ . There turn out to be no bound-state energies in this system consistent with a normalizable wave function.

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